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Finding the Fourth Proportional to 212.33, 292.99 and 119.08

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Solution

The fourth proportional to 212.33, 292.99 and 119.08 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.33 : 292.99 = 119.08 : x
  2. Step 2: Convert to fraction form
    212.33/292.99 = 119.08/x
  3. Step 3: Cross multiply
    212.33x = 292.99 × 119.08
  4. Step 4: Simplify right side
    212.33x = 34,887.19
  5. Step 5: Solve for x
    x = 34,887.19/212.33
  6. Step 6: Final answer
    x = 164.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.